"In his public life, Steve was known as visionary; in his private life, he cherished his family. We are thankful to the many people who have shared their wishes and prayers during the last years of Steve's illness; a website will be provided for those who wish to offer tributes and memories," the statement says.

"We are grateful for the support and kindness of those who share our feelings for Steve. We know many of you will mourn with us, and we ask that you respect our privacy during our time of grief," it concludes.

Jobs, who formed Apple Inc. with Steve Wozniak, stepped down earlier this year, with Tim Cook taking over as CEO.

Apple's official statement on its website read: "Apple has lost a visionary and creative genius, and the world has lost an amazing human being. Those of us who have been fortunate enough to know and work with Steve have lost a dear friend and an inspiring mentor. Steve leaves behind a company that only he could have built, and his spirit will forever be the foundation of Apple."